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Finding the Third Proportional to 194,712 and 294,667

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Solution

The third proportional to 194,712 and 294,667 is: 445,933.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,712 : 294,667 = 294,667 : x
  2. Step 2: Convert to fraction form
    194,712/294,667 = 294,667/x
  3. Step 3: Cross multiply
    194,712x = 294,667 × 294,667
  4. Step 4: Simplify right side
    194,712x = 86,828,640,889
  5. Step 5: Solve for x
    x = 86,828,640,889/194,712
  6. Step 6: Final answer
    x = 445,933.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.